diff --git a/cinn/backends/llvm/codegen_llvm.cc b/cinn/backends/llvm/codegen_llvm.cc
index 7e5f6d5546d99..6a1233e8327d8 100644
--- a/cinn/backends/llvm/codegen_llvm.cc
+++ b/cinn/backends/llvm/codegen_llvm.cc
@@ -1374,7 +1374,7 @@ llvm::Value *CodeGenLLVM::Visit(const ir::intrinsics::UnaryIntrin *op) {
     }
   }
   CHECK(!op->args.empty());
-  llvm::Type *return_type = CinnTypeToLLVMType(op->type(), m_);
+  llvm::Type *return_type = CinnTypeToLLVMType(op->type(), m_, true);
   llvm::Function *fn      = GetIntrinsicDecl(id, return_type, arg_type);
   CHECK(fn) << "Cannot find intrinsic declaration, possible type mismatch: " << llvm::Intrinsic::getName(id, {});
   return b_->CreateCall(fn, arg_value);
diff --git a/cinn/backends/llvm/llvm_intrin_rule.h b/cinn/backends/llvm/llvm_intrin_rule.h
index 86a6fed20cb0e..b16c840f29421 100644
--- a/cinn/backends/llvm/llvm_intrin_rule.h
+++ b/cinn/backends/llvm/llvm_intrin_rule.h
@@ -24,8 +24,8 @@ inline void MakeFloatIntrinOp(lang::Args args, lang::RetValue *rv) {
   CHECK(node);
   CHECK_GE(node->read_args.size(), arg_nums);
   if (add_float_suffix) {
-    CHECK_EQ(node->type(), Float(32));
-    *rv = ir::intrinsics::UnaryIntrin::Make(node->name + "f", node->read_args, id, arg_nums, Float(32));
+    CHECK(node->type().is_float());
+    *rv = ir::intrinsics::UnaryIntrin::Make(node->name + "f", node->read_args, id, arg_nums, node->type());
   } else {
     *rv = ir::intrinsics::UnaryIntrin::Make(node->name, node->read_args, id, arg_nums, node->type());
   }
diff --git a/cinn/backends/llvm/llvm_util.cc b/cinn/backends/llvm/llvm_util.cc
index c77281a8d15e5..9423a72f72426 100644
--- a/cinn/backends/llvm/llvm_util.cc
+++ b/cinn/backends/llvm/llvm_util.cc
@@ -9,7 +9,7 @@
 namespace cinn {
 namespace backends {
 
-llvm::Type *CinnTypeToLLVMType(common::Type type, llvm::Module *m) {
+llvm::Type *CinnTypeToLLVMType(common::Type type, llvm::Module *m, bool is_vec) {
   llvm::Type *ir_type = nullptr;
   if (type.is_cpp_const()) {
     // TODO(fc500110) support it latter.
@@ -51,9 +51,13 @@ llvm::Type *CinnTypeToLLVMType(common::Type type, llvm::Module *m) {
   }
   CHECK(ir_type) << "LLVM can't convert type: " << type;
 
-  // C array.
+  // C array / vector.
   if (type.lanes() > 1) {
-    ir_type = llvm::ArrayType::get(ir_type, type.lanes());
+    if (is_vec) {
+      ir_type = llvm::FixedVectorType::get(ir_type, type.lanes());
+    } else {
+      ir_type = llvm::ArrayType::get(ir_type, type.lanes());
+    }
   }
 
   if (type.is_cpp_handle()) {
diff --git a/cinn/backends/llvm/llvm_util.h b/cinn/backends/llvm/llvm_util.h
index 1d092b622ed30..2145585cc0919 100644
--- a/cinn/backends/llvm/llvm_util.h
+++ b/cinn/backends/llvm/llvm_util.h
@@ -32,7 +32,7 @@ std::string DumpToString(const T &entity) {
 
 inline llvm::StringRef AsStringRef(std::string_view str) { return llvm::StringRef(str.data(), str.size()); }
 
-llvm::Type *CinnTypeToLLVMType(common::Type t, llvm::Module *m);
+llvm::Type *CinnTypeToLLVMType(common::Type t, llvm::Module *m, bool is_vec = false);
 
 template <typename T>
 llvm::Type *llvm_type_of(llvm::Module *m);
diff --git a/cinn/hlir/op/elementwise.cc b/cinn/hlir/op/elementwise.cc
index 7190ec374e54f..f0754ab3166a8 100644
--- a/cinn/hlir/op/elementwise.cc
+++ b/cinn/hlir/op/elementwise.cc
@@ -62,6 +62,11 @@ std::shared_ptr<OpStrategy> StrategyForElementwise(const framework::NodeAttr &at
         stages[Out.as_tensor_ref()]->Bind(0, "blockIdx.x");
         stages[Out.as_tensor_ref()]->Bind(1, "threadIdx.x");
       }
+    } else if (target.arch == Target::Arch::X86) {
+      Expr Out              = arg_pack[0];
+      poly::StageMap stages = arg_pack[1];
+      CHECK(Out.as_tensor());
+      pe::ScheduleInjectiveCPU(stages[Out.as_tensor_ref()], output_shapes.back(), target);
     }
     *ret = arg_pack;
   });
diff --git a/cinn/ir/ir.cc b/cinn/ir/ir.cc
index e853de437333d..59a36f9bc18af 100755
--- a/cinn/ir/ir.cc
+++ b/cinn/ir/ir.cc
@@ -464,6 +464,7 @@ Expr Load::Make(Expr tensor, const std::vector<Expr> &indices) {
   auto node     = make_shared<Load>();
   node->tensor  = tensor;
   node->indices = indices;
+  node->set_type(node->type());
   return Expr(node);
 }
 Type Load::type() const {
@@ -662,7 +663,7 @@ void Select::Verify() const {
   CHECK(condition.defined());
   CHECK(true_value.defined());
   CHECK(false_value.defined());
-  CHECK_EQ(condition.type(), type_of<bool>()) << "Select Node's condition should be a boolean";
+  CHECK(condition.type().is_bool()) << "Select Node's condition should be a boolean";
   CHECK_EQ(true_value.type(), false_value.type())
       << "Select Node's true_value and false_value should have the same type";
 }
diff --git a/cinn/lang/builtin.cc b/cinn/lang/builtin.cc
index 946394538f9ff..663cc17aba590 100644
--- a/cinn/lang/builtin.cc
+++ b/cinn/lang/builtin.cc
@@ -32,10 +32,16 @@ Expr logic_or(const std::vector<Expr>& conds) {
 
 //! extern call op
 #define EXTERN_CALL_IMP(name__, target__) \
-  Expr name__(Expr e) { return CallExtern(#target__, {e}); }
+  Expr name__(Expr e) { return ir::Call::Make(e->type(), #target__, {e}, {}, ir::CallType::Extern); }
+
+#define EXTERN_CALL_IMP_NO_VEC(name__, target__)                                                               \
+  Expr name__(Expr e) {                                                                                        \
+    return ir::Call::Make(                                                                                     \
+        e->type(), #target__, {e}, {}, ir::CallType::Extern, ir::FunctionRef(), 0, {{"vectorizable", false}}); \
+  }
 
 EXTERN_CALL_IMP(Exp, exp);
-EXTERN_CALL_IMP(Erf, erf);
+EXTERN_CALL_IMP_NO_VEC(Erf, erf);
 EXTERN_CALL_IMP(Sqrt, sqrt);
 EXTERN_CALL_IMP(Log, log);
 EXTERN_CALL_IMP(Log2, log2);
@@ -45,17 +51,17 @@ EXTERN_CALL_IMP(Ceil, ceil);
 EXTERN_CALL_IMP(Round, round);
 EXTERN_CALL_IMP(Trunc, trunc);
 EXTERN_CALL_IMP(Cos, cos);
+EXTERN_CALL_IMP(Sin, sin);
 EXTERN_CALL_IMP(Cosh, cosh);
 EXTERN_CALL_IMP(Tan, tan);
-EXTERN_CALL_IMP(Sin, sin);
-EXTERN_CALL_IMP(Sinh, sinh);
-EXTERN_CALL_IMP(Acos, acos);
-EXTERN_CALL_IMP(Acosh, acosh);
-EXTERN_CALL_IMP(Asin, asin);
-EXTERN_CALL_IMP(Asinh, asinh);
-EXTERN_CALL_IMP(Atan, atan);
-EXTERN_CALL_IMP(Atanh, atanh);
 EXTERN_CALL_IMP(Tanh, tanh);
+EXTERN_CALL_IMP(Sinh, sinh);
+EXTERN_CALL_IMP_NO_VEC(Acos, acos);
+EXTERN_CALL_IMP_NO_VEC(Acosh, acosh);
+EXTERN_CALL_IMP_NO_VEC(Asin, asin);
+EXTERN_CALL_IMP_NO_VEC(Asinh, asinh);
+EXTERN_CALL_IMP_NO_VEC(Atan, atan);
+EXTERN_CALL_IMP_NO_VEC(Atanh, atanh);
 
 Expr min_value(const Type& type) {
   CHECK_EQ(type.lanes(), 1);
@@ -114,7 +120,6 @@ Expr Abs(Expr e) {
 
 Expr IsNan(Expr e) {
   Type type = e->type();
-  // Type bool_type = Bool(type.lanes());
   if (type.is_int() || type.is_uint()) {
     return common::make_bool(false, type.lanes());
   } else if (type.is_float()) {
@@ -126,7 +131,7 @@ Expr IsNan(Expr e) {
     if (type.bits() == 16) {
       arg = ir::Cast::Make(Float(32), std::move(e));
     }
-    return CallExtern("isnan", {arg});
+    return CallExtern("isnan", {arg}, {{"vectorizable", false}});
   } else {
     LOG(FATAL) << type << "is not supported for isnan op.";
     return e;
diff --git a/cinn/optim/optimize.cc b/cinn/optim/optimize.cc
index 19546eb312d3d..258ce45adb0df 100644
--- a/cinn/optim/optimize.cc
+++ b/cinn/optim/optimize.cc
@@ -36,7 +36,6 @@ Expr Optimize(Expr e, Target target, bool runtime_debug_info) {
   CastSimplify(&copied);
   Simplify(&copied);
   VectorizeLoops(&copied, Target());
-  EliminateBroadcastInForloop(&copied);
   UnrollLoop(&copied);
 #ifdef CINN_WITH_CUDA
   RemoveGpuForloopsAxis(&copied);
diff --git a/cinn/optim/vectorize_loops.cc b/cinn/optim/vectorize_loops.cc
index 4298657ba63c4..91f4cfa344f79 100644
--- a/cinn/optim/vectorize_loops.cc
+++ b/cinn/optim/vectorize_loops.cc
@@ -137,8 +137,15 @@ class Vectorizer : public IRMutator<Expr *> {
       }
     }
     if (!need_visit) return;
-
-    *expr = Load::Make(node->tensor, node->indices);
+    int lanes = 0;
+    for (auto &idx : node->indices) {
+      lanes = std::max(idx.type().lanes(), lanes);
+    }
+    std::vector<Expr> new_indices;
+    for (auto &idx : node->indices) {
+      new_indices.push_back(Widen(idx, lanes));
+    }
+    *expr = Load::Make(node->tensor, new_indices);
   }
 
   void Visit(const Store *op, Expr *expr) override {
@@ -173,7 +180,45 @@ class Vectorizer : public IRMutator<Expr *> {
     *expr = Store::Make(node->tensor, node->value, new_indices);
   }
 
-  void Visit(const Call *op, Expr *expr) override { LOG(ERROR) << "Ignore widen Call node"; }
+  void Visit(const Call *op, Expr *expr) override {
+    std::vector<Expr> read_args  = op->read_args;
+    std::vector<Expr> write_args = op->write_args;
+    auto *node                   = expr->As<Call>();
+    ir::IRMutator<>::Visit(op, expr);
+    bool is_changed = false;
+    int lanes       = 0;
+    for (int i = 0; i < node->read_args.size(); i++) {
+      lanes = std::max(node->read_args[i].type().lanes(), lanes);
+      if (!node->read_args[i].same_as(read_args[i])) {
+        is_changed = true;
+      }
+    }
+    for (int i = 0; i < node->write_args.size(); i++) {
+      lanes = std::max(node->write_args[i].type().lanes(), lanes);
+      if (!node->write_args[i].same_as(write_args[i])) {
+        is_changed = true;
+      }
+    }
+    if (!is_changed) return;
+
+    for (int i = 0; i < read_args.size(); i++) {
+      node->read_args[i] = Widen(node->read_args[i], lanes);
+    }
+    for (int i = 0; i < write_args.size(); i++) {
+      node->write_args[i] = Widen(node->write_args[i], lanes);
+    }
+
+    CHECK(!read_args.empty());
+    Type type = op->type().with_lanes(lanes);
+    *expr     = Call::Make(type,
+                       node->name,
+                       node->read_args,
+                       node->write_args,
+                       node->call_type,
+                       node->func,
+                       node->value_index,
+                       node->attrs);
+  }
 
   void Visit(const Let *op, Expr *expr) override {
     auto *node = expr->As<Let>();